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Finding the Third Proportional to 617,969 and 1,302,367

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Solution

The third proportional to 617,969 and 1,302,367 is: 2,744,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,969 : 1,302,367 = 1,302,367 : x
  2. Step 2: Convert to fraction form
    617,969/1,302,367 = 1,302,367/x
  3. Step 3: Cross multiply
    617,969x = 1,302,367 × 1,302,367
  4. Step 4: Simplify right side
    617,969x = 1,696,159,802,689
  5. Step 5: Solve for x
    x = 1,696,159,802,689/617,969
  6. Step 6: Final answer
    x = 2,744,732.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.